Course Archives Theoretical Statistics and Mathematics Unit

Course: Representation theory of finite groups Instructor: Shreedhar Inamdar Room: G23 Level: Undergraduate Time: Currently offered

Syllabus Past Exams Syllabus: Introduction to multilinear algebra: Review of linear algebra, multilinear forms, tensor products, wedge product, Grassmann ring, symmetric product. Definition and examples of representations,; Group algebra and Maschkes Theorem, Schurs lemma, Characters and Schurs Orthogonality relations; Burnsides pq theorem, Permutation representations; Induced representations; Frobenius reciprocity law, Representation theory of symmetric groups, Random walks on groups. Reference Texts: (a) A. Prasad: Representation Theory: A Combinatorial Viewpoint. (b) Benjamin Steinberg: Representation Theory of Finite Groups:An Introductory Approach. (c) W. Fulton and J. Harris: Representation Theory, Part I. (d) J-P Serre: Linear representations of finite groups. Evaluation: Mid-term marks Assignment marks Final Exam marks Total 100 marks Top of the page Past Exams

Midterm 24.pdf Semestral 24.pdf Supplementary and Back Paper 24.pdf Top of the page

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